C 103 } 
perpendicularis CT t atque It tangat Curvam in /, &red£ 
CT occurrat i nT:. erit C T conftans reda, squalis fcil. arcui- 
FZsjqua proprfetate Logarithmicam smulatur, cum CT Cur- 
vs Subtangens dici poffic. Sit enim Radius circuli C E ~h % ar- 
cus VE — a , dicatur Cl x U VT fit y. Quia eft Fa — x ^y erit 
— =y &—~y, Porro eft CT : Cl :: T X : N K 
x x z 
h Ax . a x 
hoc eft h : x :: — : NK: qus proinde eft — . Et quoniam 
x l x 
eft IN ■ : ME Cl: C T. hoceft*: — ::x: CT,eritCT=a, 
oc 
Sicentro C, intervallo quovis C G, defcribatur circuli areu$ 
G F, hie arcus inter redam C V &. curvam interceptus erit fem- 
per squalis conftanti reds C T vel a. Nam quoniam eft VL x 
CF—CV*V E, erit VL : VE : : C V : C F : : VL : G F 
unde squantur VE & GF. Si ad CG ex C excitetur 
normalis C R — VE vel FG vel <*, & per R agatur RS reds 
C V parallela, erit RS Curvs Afymptotos. Nam eft reda MS 
squalis arcui G F> & proinde FS diftantia Curvs ab R S eft 
femper squalls exceflui quo arcus fuperat (bum finum : at cum 
diftantia crefcatininfinitun^exceflus ille minueturin infinitum, 
& fict tandem data quavis reda minor, & proinde. R S erit 
Curvs Afymptotos. 
Sit jam b major quam a ; & fimiliter, ut in priore cafu, in- 
venietur KN= 
A X 
\f x z -f- b z — a l * 
at quoniam b fuperat a, erit c 1 
= b 1 — a z quantitas pofitiva, & K N fiet : 
^ & ponendo 
h a x 
radium circuli HT invenietur X T— — Pona- 
XV X IT C 
jp £p X Z> 
& erit x ~ — — — & - — = . Erit quoque at 2 — 
tur AT 
c* 
c+-\~e z 
— — - x F-f z?: unde 
V<.v‘ -jr £* ' 
